anonymous
  • anonymous
The ages of a group of women are approximately normally distributed with a mean of 48 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. A. Find the probability that her age will fall between 54 and 60 years is_____. B. Find the probability that her age will fall between 47 and 52 years is_____. C. Find the probability that her age will be less than 35 is_____. D. Find the probability that her age will exceed 40 years is_____.
Statistics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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amistre64
  • amistre64
are you spose to use an exact result, or an empirical rule approximation?
amistre64
  • amistre64
also, are you using a ti83, or stat program, or do you have to use the tables in the book?
anonymous
  • anonymous
Tables in the book

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amistre64
  • amistre64
tables bite .... different authors have different formats that they feel are better :/ in any case, the process is simple enough if you can read the table
amistre64
  • amistre64
find a z score, look it up in the table, work the results\[Z=\frac{X-mean}{sd}\]
amistre64
  • amistre64
since your mean = 48, and sd = 6 finding the z scores for the given info is simple enough
amistre64
  • amistre64
A. Find the probability that her age will fall between 54 and 60 years z1 = (54-48)/6 ; z2 = (60-48)/6 do you know how to read your tables?
anonymous
  • anonymous
Yes
amistre64
  • amistre64
then the rest of it is working out the values from the table to address the given situations.
anonymous
  • anonymous
ok thanks for you help
amistre64
  • amistre64
good luck :)
anonymous
  • anonymous
By the way the last two quetions, would you use 35 or 34 if it is less than, and 36 if it is greater tahn?
amistre64
  • amistre64
C. Find the probability that her age will be less than 35 is_____. x = 35, then find the area to the left of z D. Find the probability that her age will exceed 40 years is_____. x = 40, then find the area to the right of z

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